Practice post utme veritas university economics 2017 Past Questions

Question 1

Consider a firm operating in a perfectly competitive market with a given production function Q = 2L^\( 1/2 \)H^\( 1/2 \). If the firm's current input prices are w = 10 and r = 20, and the current output price is p = 30, calculate the firm's optimal input mix (L, H) u\sing the Lagrange method, assuming a cons\tant returns to scale production techno\logy.

Correct A. \( L = 100, H = 100 \)

B. \( L = 50, H = 50 \)

C. \( L = 200, H = 200 \)

D. \( L = 25, H = 25 \)

Correct Answer: A

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Question 2

A government is considering a tax on a particular good to reduce its consumption. The demand function for the good is given by Q = 100 - 2P, and the supply function is given by Q = 2P - 10. If the government wants to reduce the consumption of the good by 20 units, what should be the optimal tax rate?

A. \( P = 15 \)

Correct B. \( P = 20 \)

C. \( P = 25 \)

D. \( P = 30 \)

Correct Answer: B

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Question 3

A farmer is considering two alternative crops to plant on her land. Crop A requires an initial investment of ₦100,000 and yields a profit of ₦50,000 per hectare. Crop B requires an initial investment of ₦150,000 and yields a profit of ₦60,000 per hectare. If the farmer has a budget of ₦200,000, how many hectares of each crop should she plant to maximize her profit?

Correct A. ( 2 hectares of Crop A, 1 hectare of Crop B )

B. ( 1 hectare of Crop A, 2 hectares of Crop B )

C. ( 3 hectares of Crop A, 0 hectares of Crop B )

D. ( 0 hectares of Crop A, 3 hectares of Crop B )

Correct Answer: A

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Question 4

A government is considering a policy to reduce the price of a particular good. The demand function for the good is given by Q = 100 - 2P, and the supply function is given by Q = 2P - 10. If the government wants to reduce the price of the good by 10%, what will be the new equilibrium price?

A. \( P = 15 \)

Correct B. \( P = 20 \)

C. \( P = 25 \)

D. \( P = 30 \)

Correct Answer: B

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Question 5

A firm is considering two alternative production techno\logies to produce a particular good. Techno\logy A requires an initial investment of ₦100,000 and yields a profit of ₦50,000 per unit. Techno\logy B requires an initial investment of ₦150,000 and yields a profit of ₦60,000 per unit. If the firm has a budget of ₦200,000, how many units of each techno\logy should it use to maximize its profit?

Correct A. \( 2 units of Techno\logy A, 1 unit of Techno\logy B \)

B. \( 1 unit of Techno\logy A, 2 units of Techno\logy B \)

C. \( 3 units of Techno\logy A, 0 units of Techno\logy B \)

D. \( 0 units of Techno\logy A, 3 units of Techno\logy B \)

Correct Answer: A

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Question 6

The concept of comparative advantage in international trade suggests that a country should specialize in producing goods for which it has a lower opportunity \cost compared to another country. Which of the following is a correct example of comparative advantage?

A. Nigeria should produce more textiles because it has a larger labor force.

B. Nigeria should produce more agricultural products because it has a more favorable climate.

Correct C. Nigeria should produce goods for which it has a lower opportunity \cost compared to another country.

D. Nigeria should import goods from other countries because it lacks the necessary resources.

Correct Answer: C

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Question 7

Agricultural industrialization in Nigeria has been hindered by the lack of infrastructure. Which of the following is a correct example of infrastructure that would facilitate agricultural industrialization?

A. Construction of new roads and highways.

Correct B. Development of irrigation systems.

C. Establishment of storage facilities.

D. Creation of new markets.

Correct Answer: B

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Question 8

The concept of utility in consumer behavior suggests that consumers make rational decisions based on the satisfaction they derive from consuming goods and services. Which of the following is a correct example of a utility-maximizing decision?

A. A consumer chooses to buy a more expensive product because it is perceived to be of higher quality.

Correct B. A consumer chooses to buy a product that provides the greatest satisfaction at the lowest price.

C. A consumer chooses to buy a product that is recomm\ended by fri\ends and family.

D. A consumer chooses to buy a product that is on sale.

Correct Answer: B

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Question 9

The concept of demand and supply in economics suggests that the price of a good is determined by the intersection of the demand and supply curves. Which of the following is a correct example of a demand and supply equilibrium?

A. A situation where the demand curve is steeper than the supply curve.

B. A situation where the demand curve is flatter than the supply curve.

Correct C. A situation where the demand curve intersects the supply curve at a price of ₦100.

D. A situation where the demand curve intersects the supply curve at a quantity of 100 units.

Correct Answer: C

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Question 10

The concept of economic planning and development suggests that governments play a crucial role in guiding the economy towards sustainable growth and development. Which of the following is a correct example of an economic planning and development strategy?

A. A situation where the government provides subsidies to farmers to increase agricultural production.

Correct B. A situation where the government invests in infrastructure to improve transportation and communication.

C. A situation where the government provides training and education to workers to improve their skills.

D. A situation where the government imposes tariffs on imported goods to protect local industries.

Correct Answer: B

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Question 11

The Marshall Plan was a post-war economic aid program implemented by the United States to help rebuild which of the following countries?

Correct A. Germany

B. France

C. Italy

D. Japan

Correct Answer: A

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Question 12

A firm's revenue function is given by R(x) = 2x^2 + 5x + 1. If the firm's marginal revenue is 10, find the value of x.

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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Question 13

A country's balance of payments account is given by the following equation: BOP = \( X - M \) + \( F - I \). If the country's trade balance is in surplus by ₦100 billion, its current account is in deficit by ₦50 billion, and its capital account is in surplus by ₦20 billion, what is the value of BOP?

Correct A. ₦70 billion

B. ₦80 billion

C. ₦90 billion

D. ₦100 billion

Correct Answer: A

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Question 14

A government's budget is given by the following equation: G = T + I. If the government's tax revenue is ₦500 billion, its current exp\enditure is ₦300 billion, and its capital exp\enditure is ₦200 billion, what is the value of G?

A. ₦900 billion

Correct B. ₦1000 billion

C. ₦1100 billion

D. ₦1200 billion

Correct Answer: B

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Question 15

A firm's demand function is given by D(x) = 100 - 2x. If the firm's price is ₦50, what is the value of x?

A. 20

B. 30

Correct C. 40

D. 50

Correct Answer: C

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Question 16

Consider a perfectly competitive market with n firms, each producing a homogeneous product. If the market demand curve is given by Qd = 100 - 2P and the supply curve is given by Qs = 20 + 3P, find the equilibrium price and quantity.

A. ₦50, 80

Correct B. ₦40, 60

C. ₦30, 40

D. ₦20, 20

Correct Answer: B

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Question 17

A firm's production function is given by Q = 2L^2 + 5K, where L is labor and K is capital. If the firm's budget constraint is given by 2L + 3K = 100, find the optimal level of labor and capital.

A. L = 10, K = 20

B. L = 20, K = 10

Correct C. L = 15, K = 25

D. L = 25, K = 15

Correct Answer: C

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Question 18

A government imposes a tax on a firm's output, cau\sing the firm's supply curve to shift to the left. If the original supply curve was given by Qs = 20 + 3P and the tax causes the supply curve to shift to Qs = 10 + 2P, find the new equilibrium price and quantity.

Correct A. ₦30, 30

B. ₦20, 20

C. ₦10, 10

D. ₦5, 5

Correct Answer: A

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Question 19

A firm's \cost function is given by C = 2L + 5K, where L is labor and K is capital. If the firm's revenue function is given by R = 10Q, where Q is output, find the firm's profit-maximizing level of output.

Correct A. Q = 10

B. Q = 20

C. Q = 30

D. Q = 40

Correct Answer: A

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Question 20

A government imposes a subsidy on a firm's output, cau\sing the firm's supply curve to shift to the right. If the original supply curve was given by Qs = 20 + 3P and the subsidy causes the supply curve to shift to Qs = 30 + 2P, find the new equilibrium price and quantity.

A. ₦20, 20

Correct B. ₦30, 30

C. ₦40, 40

D. ₦50, 50

Correct Answer: B

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Question 21

A firm's \cost function is given by C(x) = 2x^2 + 5x + 10. If the firm produces 20 units, what is the total \cost?

A. 200

B. 250

Correct C. 300

D. 350

Correct Answer: C

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Question 22

A consumer's utility function is given by U(x, y) = 2x + 3y. If the consumer has a budget of ₦1000 and the prices of x and y are ₦5 and ₦10 respectively, what is the consumer's optimal bundle?

A. 100, 100

Correct B. 200, 100

C. 100, 200

D. 200, 200

Correct Answer: B

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Question 23

A firm's revenue function is given by R(x) = 3x^2 - 2x + 1. If the firm produces 15 units, what is the total revenue?

A. 500

B. 550

Correct C. 600

D. 650

Correct Answer: C

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Question 24

A consumer's budget constraint is given by 2x + 3y = 1000. If the consumer's utility function is U(x, y) = 2x + 3y, what is the consumer's optimal bundle?

Correct A. 500, 333

B. 333, 500

C. 250, 333

D. 333, 250

Correct Answer: A

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Question 25

A firm's \cost function is given by C(x) = 2x^2 + 5x + 10. If the firm produces 20 units, what is the marginal \cost?

A. 45

B. 50

Correct C. 55

D. 60

Correct Answer: C

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